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Finding the Fourth Proportional to 25,906.75, 38,860.14 and 7,438.75

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Solution

The fourth proportional to 25,906.75, 38,860.14 and 7,438.75 is: 11,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.75 : 38,860.14 = 7,438.75 : x
  2. Step 2: Convert to fraction form
    25,906.75/38,860.14 = 7,438.75/x
  3. Step 3: Cross multiply
    25,906.75x = 38,860.14 × 7,438.75
  4. Step 4: Simplify right side
    25,906.75x = 289,070,866.43
  5. Step 5: Solve for x
    x = 289,070,866.43/25,906.75
  6. Step 6: Final answer
    x = 11,158.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.